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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 18 > No. 06

 
   

Exploring the Impact of Endoscope, Jeffrey Fluid, Magnetic Field, and Separated Flow on Peristaltic Motion in Non-Uniform Tubes

PP: 1247-1259
doi:10.18576/amis/180607
Author(s)
E. G. El-Hadidy, M. Ibrahim, Mohamed Hafez, Shawkat Alkhazaleh, Abd El Hakeem Abd El Naby,
Abstract
This paper investigates the behavior of an incompressible Jeffrey fluid flowing between an inner and an outer tube. The inner tube represents an endoscope, while the outer tube has a non-uniform shape with a sinusoidal wave on its wall. A radial magnetic field is present. The analysis utilizes cylindrical coordinates and assumes long wavelength and low Reynolds number approximations. Exact and approximate solutions are obtained using the regular perturbation method. Numerical calculations are performed to determine the pressure rise, frictional force, and pressure gradient, which are then compared graphically. The study discusses trapping phenomena and finds good agreement between the numerical and perturbation results. Overall, the work provides insights into the behavior of the Jeffrey fluid and its interaction with the non-uniform tube and magnetic field.

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